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Finding the Fourth Proportional to 57,806.36, 86,715.31 and 15,687.12

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Solution

The fourth proportional to 57,806.36, 86,715.31 and 15,687.12 is: 23,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.36 : 86,715.31 = 15,687.12 : x
  2. Step 2: Convert to fraction form
    57,806.36/86,715.31 = 15,687.12/x
  3. Step 3: Cross multiply
    57,806.36x = 86,715.31 × 15,687.12
  4. Step 4: Simplify right side
    57,806.36x = 1,360,313,301.41
  5. Step 5: Solve for x
    x = 1,360,313,301.41/57,806.36
  6. Step 6: Final answer
    x = 23,532.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.